sum of the interior angles is 180(n-2) so we have 180(n-2)/n=174 180n-360=174n 6n=360 so n=60 it would have 60 sides Doctor Chuck aka mathdoc
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If they are both regular polygons then it is the octagon which is 135 degrees whereas the hexagon is 120 degrees
If one interior angle is 165 degrees, find the number of sides of the polygon.
If it is a regular polygon and each interior angle is 176 degrees then it will have 90 sides.
Any number of sides of 5 and above because all interior angles of regular polygons in this category will have obtuse interior angles.
interior angle = (number of sides - 2) * 180 / (number of sides) = 4 * 180 / 6 = 120 degrees